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1813020 = 2235114167
BaseRepresentation
bin110111010101000011100
310102002222220
412322220130
5431004040
6102505340
721260526
oct6725034
93362886
101813020
111029170
12735250
134b62c1
14352a16
1525c2d0
hex1baa1c

1813020 has 96 divisors (see below), whose sum is σ = 5757696. Its totient is φ = 422400.

The previous prime is 1813003. The next prime is 1813039. The reversal of 1813020 is 203181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27027 + ... + 27093.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

21813020 is an apocalyptic number.

1813020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848).

1813020 is an abundant number, since it is smaller than the sum of its proper divisors (3944676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1813020 is a wasteful number, since it uses less digits than its factorization.

1813020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1813020 is about 1346.4843110857. The cubic root of 1813020 is about 121.9366328635.

The spelling of 1813020 in words is "one million, eight hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 67 82 110 123 132 134 164 165 201 205 220 246 268 330 335 402 410 451 492 615 660 670 737 804 820 902 1005 1230 1340 1353 1474 1804 2010 2211 2255 2460 2706 2747 2948 3685 4020 4422 4510 5412 5494 6765 7370 8241 8844 9020 10988 11055 13530 13735 14740 16482 22110 27060 27470 30217 32964 41205 44220 54940 60434 82410 90651 120868 151085 164820 181302 302170 362604 453255 604340 906510 1813020